**BLAISE PASCAL**

Who is Blaise Pascal?

Born on June 19, 1623 in Clermont-Ferrand, France

17th Century Mathematical genius

Best known for being a mathematician, physicist and religious philosopher,

who laid the foundation

for the modern theory

of probabilities

Works cited

Burton, D. M. (2011). The History of Mathematics. New York: The McGraw-Hill

Companies, Inc.

Hosch, W. (n.d.). Pascal's triangle. Encyclopedia Britannica Online. Retrieved

December 20, 2013, from http://www.britannica.com/EBchecked/topic/445453/Pascals-triangle

Pomerantz, H. (1997). The Role of Calculators in Math Education. Retrieved January

12, 2014, from http://education.ti.com/sites/US/downloads/pdf/therole.pdf

Raven, A. (2010, October 19). Blaise Pascal biography. Bio.com. Retrieved December

11, 2013, from http://www.biography.com/people/blaise-pascal-9434176

Ross, J. F. (2004). Pascal’s legacy. NCBI. Retrieved December 20, 2013, from http://

www.ncbi.nlm.nih.gov/pmc/articles/PMC1299210/

Early Life

Pascal was home schooled by his father, Etienne

Studying mathematics was forbidden in their household, sparking his curiosity

Eventually, Etienne allowed Blaise to study the principles of geometry

He was able to determine that the sum of the angles of a triangle is two right angles

EARLY LIFE

After realizing his son was a prodigy, Etienne enrolled him in math workshops where he was able learn and comprehend math on a higher level

These gatherings encouraged him to write an essay entitled “Essai pour les coniques”

In this essay, he deduced over four hundred

propositions on conic sections

This resulted in the creation of his first theorem, known as Pascal’s mystic hexagon theorem

THE pascaline

Pascal wanted to construct a mechanism that would make his father's job of straightening out tax records more tolerable

For two years, he worked on a clockwork apparatus that would quickly solve addition and multiplication

The final product was

a complex mechanism,

which he named the "Pascaline"

LIVING IN FRANCE

Living in France allowed Pascal to attend mathematical gatherings that ultimately contributed to his success

This enabled him to meet and

work with mathematicians

He was given the opportunity to study new concepts and develop his own, which may not have happened if he did not attend these meeting in Paris

Some of these present day concepts and technologies derived from Pascal include:

The Calculator

and

The Probability Theory

Blaise Pascal is a very influential man who has made significant contributions to the evolution of mathematics.

presented by

Mellorie capistrano

&

patricia gerongco

the cycloid

In 1658, Pascal became interested in solving problems about the cycloid

The cycloid is a curve formed by tracing a point on the circumference of a circle as it rolls along a straight line

Pascal worked on calculating the area under one arch and solving for the volume and surface area of the solid obtained by revolving the curve about the base line

After eight straight days of furiously working, he later published his solutions in “History of the Cycloid”

what it means for us today

Pascal’s numerous contributions to mathematics have made lasting impacts on our world and are the foundation to many of our concepts and technologies today

Some of these present day concepts and technologies derived from Pascal include...

The calculator

Due to the development of the Pascaline, the calculator was invented

It has become such an essential tool in learning because it reduces the time spent on performing basic calculations and allows more time on developing mathematical understanding and reasoning

Today, calculators are one of the

most valuable educational tools

for students

the probability theory

Derived from Pascal’s triangle

It changed the way we regard uncertainty, risk and decision-making and has the ability to influence the course of future events

For instance, with the use of the probability theory, gamblers can evaluate a game by simply calculating the possible occurrences of a certain number, card or value

Also used in areas, such as forecasting weather, assessing risks in medical treatment, and even in predicting the likelihood of being struck by lightning

It is the very essence of modern-day risk analysis and management

in conclusion

Blaise Pascal is a very influential man who has made significant contributions to the evolution of mathematics

Had he dedicated his whole

life to his studies, Pascal may

have enhanced the subject to a greater extent

Nonetheless, no other mathematician displayed greater natural genius than Blaise Pascal whose inventions and discoveries have played a major role in our world today

DEATH

During the final years of Pascal's life, he suffered from extreme headaches

It was later discovered that the cause was a malignant growth in his stomach that spread to his brain, forming a lesion

Pascal died in Paris on August 19, 1662

PASCAL'S TRIANGLE

Pascal became involved in gambling with dice for a period of time in his life

This encouraged him to work on probability and figure out the chances of getting different values for rolls of dice

Pascal published “Traite du Triangle Arithmetique” in 1654, and created what is known today as Pascal’s triangle

The development of the arithmetic triangle provided an advance in algebra and probability, changing the world of mathematics

PASCAL's triangle

This triangle has an infinite numerical table in ‘triangular form’, where the nth row of the triangle lists the successive coefficients in the binomial expansion of (x + y)^n

I

t is constructed in a way that each number is a result of adding the number to its left to the number above it - with the exception of the first column and row which contains only 1s